TSTP Solution File: SET858-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET858-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 22:52:54 EDT 2022
% Result : Unsatisfiable 4.35s 4.74s
% Output : Refutation 4.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET858-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Mon Jul 11 00:57:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 4.35/4.74 *** allocated 10000 integers for termspace/termends
% 4.35/4.74 *** allocated 10000 integers for clauses
% 4.35/4.74 *** allocated 10000 integers for justifications
% 4.35/4.74 Bliksem 1.12
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 Automatic Strategy Selection
% 4.35/4.74
% 4.35/4.74 Clauses:
% 4.35/4.74 [
% 4.35/4.74 [ 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'(
% 4.35/4.74 't_a' ) ) ) ],
% 4.35/4.74 [ 'c_in'( 'v_n', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'(
% 4.35/4.74 't_a' ) ) ) ],
% 4.35/4.74 [ ~( 'c_lessequals'( 'v_n', 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ]
% 4.35/4.74 ,
% 4.35/4.74 [ ~( 'c_lessequals'( 'v_m', 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ]
% 4.35/4.74 ,
% 4.35/4.74 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( T, X,
% 4.35/4.74 'tc_set'( Z ) ) ), 'c_lessequals'( T, Y, 'tc_set'( Z ) ) ],
% 4.35/4.74 [ 'c_lessequals'( X, 'c_Zorn_Osucc'( Y, X, Z ), 'tc_set'( 'tc_set'( Z )
% 4.35/4.74 ) ) ],
% 4.35/4.74 [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ),
% 4.35/4.74 ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ),
% 4.35/4.74 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), 'c_Zorn_OTFin'( Y,
% 4.35/4.74 Z ), 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'( T, X, 'tc_set'(
% 4.35/4.74 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'(
% 4.35/4.74 'tc_set'( Z ) ) ) ],
% 4.35/4.74 [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ),
% 4.35/4.74 ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ),
% 4.35/4.74 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 4.35/4.74 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), X, 'tc_set'( 'tc_set'( Z )
% 4.35/4.74 ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z
% 4.35/4.74 ) ) ) ],
% 4.35/4.74 [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ),
% 4.35/4.74 ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), ~(
% 4.35/4.74 =( 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), X ) ), 'c_lessequals'( T
% 4.35/4.74 , X, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z
% 4.35/4.74 ), T, 'tc_set'( 'tc_set'( Z ) ) ) ],
% 4.35/4.74 [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ),
% 4.35/4.74 ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), ~(
% 4.35/4.74 'c_lessequals'( 'c_Zorn_Osucc'( Y, 'c_Zorn_OTFin__linear__lemma1__1'( Y,
% 4.35/4.74 X, Z ), Z ), X, 'tc_set'( 'tc_set'( Z ) ) ) ), 'c_lessequals'( T, X,
% 4.35/4.74 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T
% 4.35/4.74 , 'tc_set'( 'tc_set'( Z ) ) ) ],
% 4.35/4.74 [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ),
% 4.35/4.74 ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), ~(
% 4.35/4.74 'c_lessequals'( X, T, 'tc_set'( 'tc_set'( Z ) ) ) ), 'c_lessequals'(
% 4.35/4.74 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) ), =( X, T ) ]
% 4.35/4.74 ] .
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 percentage equality = 0.060606, percentage horn = 0.545455
% 4.35/4.74 This is a problem with some equality
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 Options Used:
% 4.35/4.74
% 4.35/4.74 useres = 1
% 4.35/4.74 useparamod = 1
% 4.35/4.74 useeqrefl = 1
% 4.35/4.74 useeqfact = 1
% 4.35/4.74 usefactor = 1
% 4.35/4.74 usesimpsplitting = 0
% 4.35/4.74 usesimpdemod = 5
% 4.35/4.74 usesimpres = 3
% 4.35/4.74
% 4.35/4.74 resimpinuse = 1000
% 4.35/4.74 resimpclauses = 20000
% 4.35/4.74 substype = eqrewr
% 4.35/4.74 backwardsubs = 1
% 4.35/4.74 selectoldest = 5
% 4.35/4.74
% 4.35/4.74 litorderings [0] = split
% 4.35/4.74 litorderings [1] = extend the termordering, first sorting on arguments
% 4.35/4.74
% 4.35/4.74 termordering = kbo
% 4.35/4.74
% 4.35/4.74 litapriori = 0
% 4.35/4.74 termapriori = 1
% 4.35/4.74 litaposteriori = 0
% 4.35/4.74 termaposteriori = 0
% 4.35/4.74 demodaposteriori = 0
% 4.35/4.74 ordereqreflfact = 0
% 4.35/4.74
% 4.35/4.74 litselect = negord
% 4.35/4.74
% 4.35/4.74 maxweight = 15
% 4.35/4.74 maxdepth = 30000
% 4.35/4.74 maxlength = 115
% 4.35/4.74 maxnrvars = 195
% 4.35/4.74 excuselevel = 1
% 4.35/4.74 increasemaxweight = 1
% 4.35/4.74
% 4.35/4.74 maxselected = 10000000
% 4.35/4.74 maxnrclauses = 10000000
% 4.35/4.74
% 4.35/4.74 showgenerated = 0
% 4.35/4.74 showkept = 0
% 4.35/4.74 showselected = 0
% 4.35/4.74 showdeleted = 0
% 4.35/4.74 showresimp = 1
% 4.35/4.74 showstatus = 2000
% 4.35/4.74
% 4.35/4.74 prologoutput = 1
% 4.35/4.74 nrgoals = 5000000
% 4.35/4.74 totalproof = 1
% 4.35/4.74
% 4.35/4.74 Symbols occurring in the translation:
% 4.35/4.74
% 4.35/4.74 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.35/4.74 . [1, 2] (w:1, o:28, a:1, s:1, b:0),
% 4.35/4.74 ! [4, 1] (w:0, o:22, a:1, s:1, b:0),
% 4.35/4.74 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.35/4.74 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.35/4.74 'v_m' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 4.35/4.74 'v_S' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 4.35/4.74 't_a' [41, 0] (w:1, o:11, a:1, s:1, b:0),
% 4.35/4.74 'c_Zorn_OTFin' [42, 2] (w:1, o:53, a:1, s:1, b:0),
% 4.35/4.74 'tc_set' [43, 1] (w:1, o:27, a:1, s:1, b:0),
% 4.35/4.74 'c_in' [44, 3] (w:1, o:54, a:1, s:1, b:0),
% 4.35/4.74 'v_n' [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 4.35/4.74 'c_lessequals' [46, 3] (w:1, o:55, a:1, s:1, b:0),
% 4.35/4.74 'c_Zorn_Osucc' [53, 3] (w:1, o:56, a:1, s:1, b:0),
% 4.35/4.74 'c_Zorn_OTFin__linear__lemma1__1' [56, 3] (w:1, o:57, a:1, s:1, b:0)
% 4.35/4.74 .
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 Starting Search:
% 4.35/4.74
% 4.35/4.74 Resimplifying inuse:
% 4.35/4.74 Done
% 4.35/4.74
% 4.35/4.74 Failed to find proof!
% 4.35/4.74 maxweight = 15
% 4.35/4.74 maxnrclauses = 10000000
% 4.35/4.74 Generated: 276681
% 4.35/4.74 Kept: 235
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 The strategy used was not complete!
% 4.35/4.74
% 4.35/4.74 Increased maxweight to 16
% 4.35/4.74
% 4.35/4.74 Starting Search:
% 4.35/4.74
% 4.35/4.74 Resimplifying inuse:
% 4.35/4.74 Done
% 4.35/4.74
% 4.35/4.74 Failed to find proof!
% 4.35/4.74 maxweight = 16
% 4.35/4.74 maxnrclauses = 10000000
% 4.35/4.74 Generated: 276681
% 4.35/4.74 Kept: 235
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 The strategy used was not complete!
% 4.35/4.74
% 4.35/4.74 Increased maxweight to 17
% 4.35/4.74
% 4.35/4.74 Starting Search:
% 4.35/4.74
% 4.35/4.74 Resimplifying inuse:
% 4.35/4.74 Done
% 4.35/4.74
% 4.35/4.74 Failed to find proof!
% 4.35/4.74 maxweight = 17
% 4.35/4.74 maxnrclauses = 10000000
% 4.35/4.74 Generated: 276408
% 4.35/4.74 Kept: 240
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 The strategy used was not complete!
% 4.35/4.74
% 4.35/4.74 Increased maxweight to 18
% 4.35/4.74
% 4.35/4.74 Starting Search:
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 Bliksems!, er is een bewijs:
% 4.35/4.74 % SZS status Unsatisfiable
% 4.35/4.74 % SZS output start Refutation
% 4.35/4.74
% 4.35/4.74 clause( 0, [ 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 .
% 4.35/4.74 clause( 1, [ 'c_in'( 'v_n', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 .
% 4.35/4.74 clause( 2, [ ~( 'c_lessequals'( 'v_n', 'v_m', 'tc_set'( 'tc_set'( 't_a' ) )
% 4.35/4.74 ) ) ] )
% 4.35/4.74 .
% 4.35/4.74 clause( 3, [ ~( 'c_lessequals'( 'v_m', 'v_n', 'tc_set'( 'tc_set'( 't_a' ) )
% 4.35/4.74 ) ) ] )
% 4.35/4.74 .
% 4.35/4.74 clause( 4, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'(
% 4.35/4.74 T, X, 'tc_set'( Z ) ) ), 'c_lessequals'( T, Y, 'tc_set'( Z ) ) ] )
% 4.35/4.74 .
% 4.35/4.74 clause( 5, [ 'c_lessequals'( X, 'c_Zorn_Osucc'( Y, X, Z ), 'tc_set'(
% 4.35/4.74 'tc_set'( Z ) ) ) ] )
% 4.35/4.74 .
% 4.35/4.74 clause( 6, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 4.35/4.74 ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 4.35/4.74 ), 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), 'c_Zorn_OTFin'(
% 4.35/4.74 Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'( T, X, 'tc_set'(
% 4.35/4.74 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'(
% 4.35/4.74 'tc_set'( Z ) ) ) ] )
% 4.35/4.74 .
% 4.35/4.74 clause( 7, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 4.35/4.74 ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 4.35/4.74 ), 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 4.35/4.74 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), X, 'tc_set'( 'tc_set'( Z )
% 4.35/4.74 ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z
% 4.35/4.74 ) ) ) ] )
% 4.35/4.74 .
% 4.35/4.74 clause( 8, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 4.35/4.74 ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 4.35/4.74 ), ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), X ) ),
% 4.35/4.74 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 4.35/4.74 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 4.35/4.74 .
% 4.35/4.74 clause( 9, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 4.35/4.74 ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 4.35/4.74 ), ~( 'c_lessequals'( 'c_Zorn_Osucc'( Y,
% 4.35/4.74 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), Z ), X, 'tc_set'( 'tc_set'(
% 4.35/4.74 Z ) ) ) ), 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ),
% 4.35/4.74 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) )
% 4.35/4.74 ] )
% 4.35/4.74 .
% 4.35/4.74 clause( 10, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 4.35/4.74 ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 4.35/4.74 ), ~( 'c_lessequals'( X, T, 'tc_set'( 'tc_set'( Z ) ) ) ),
% 4.35/4.74 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) )
% 4.35/4.74 , =( X, T ) ] )
% 4.35/4.74 .
% 4.35/4.74 clause( 19, [ ~( 'c_lessequals'( X, 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) )
% 4.35/4.74 ), ~( 'c_lessequals'( 'v_n', X, 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 4.35/4.74 .
% 4.35/4.74 clause( 22, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( X, 'v_n', 't_a' ), 'v_m',
% 4.35/4.74 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 4.35/4.74 .
% 4.35/4.74 clause( 34, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ), 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S'
% 4.35/4.74 , X, 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' )
% 4.35/4.74 ) ), 'c_lessequals'( 'v_m', X, 'tc_set'( 'tc_set'( 't_a' ) ) ),
% 4.35/4.74 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_m', 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 .
% 4.35/4.74 clause( 56, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_m', X, 'tc_set'( 'tc_set'(
% 4.35/4.74 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', X
% 4.35/4.74 , 't_a' ), X, 'tc_set'( 'tc_set'( 't_a' ) ) ), 'c_lessequals'(
% 4.35/4.74 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) )
% 4.35/4.74 ] )
% 4.35/4.74 .
% 4.35/4.74 clause( 73, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ), ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 4.35/4.74 X, 't_a' ), X ) ), 'c_lessequals'( 'v_m', X, 'tc_set'( 'tc_set'( 't_a' )
% 4.35/4.74 ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_m', 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 .
% 4.35/4.74 clause( 95, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ), ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 4.35/4.74 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', X, 't_a' ), 't_a' ), X,
% 4.35/4.74 'tc_set'( 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_m', X, 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' )
% 4.35/4.74 , 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 .
% 4.35/4.74 clause( 118, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ), ~( 'c_lessequals'( X, 'v_n', 'tc_set'( 'tc_set'(
% 4.35/4.74 't_a' ) ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_n',
% 4.35/4.74 'tc_set'( 'tc_set'( 't_a' ) ) ), =( X, 'v_n' ) ] )
% 4.35/4.74 .
% 4.35/4.74 clause( 227, [ ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n', 't_a'
% 4.35/4.74 ), 'v_n' ) ), 'c_lessequals'( 'v_m', 'v_n', 'tc_set'( 'tc_set'( 't_a' )
% 4.35/4.74 ) ) ] )
% 4.35/4.74 .
% 4.35/4.74 clause( 229, [ ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n', 't_a'
% 4.35/4.74 ), 'v_n' ) ) ] )
% 4.35/4.74 .
% 4.35/4.74 clause( 255, [ 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n',
% 4.35/4.74 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) )
% 4.35/4.74 , 'c_lessequals'( 'v_m', 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 .
% 4.35/4.74 clause( 256, [ 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n',
% 4.35/4.74 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) )
% 4.35/4.74 ] )
% 4.35/4.74 .
% 4.35/4.74 clause( 267, [ 'c_lessequals'( 'v_m', 'v_n', 'tc_set'( 'tc_set'( 't_a' ) )
% 4.35/4.74 ), 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n',
% 4.35/4.74 't_a' ), 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 .
% 4.35/4.74 clause( 269, [ 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 4.35/4.74 'v_n', 't_a' ), 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 .
% 4.35/4.74 clause( 270, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 4.35/4.74 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n', 't_a' ), 't_a' ), 'v_n'
% 4.35/4.74 , 'tc_set'( 'tc_set'( 't_a' ) ) ), =( 'c_Zorn_OTFin__linear__lemma1__1'(
% 4.35/4.74 'v_S', 'v_n', 't_a' ), 'v_n' ) ] )
% 4.35/4.74 .
% 4.35/4.74 clause( 290, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 4.35/4.74 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n', 't_a' ), 't_a' ), 'v_n'
% 4.35/4.74 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 .
% 4.35/4.74 clause( 299, [ 'c_lessequals'( 'v_m', 'v_n', 'tc_set'( 'tc_set'( 't_a' ) )
% 4.35/4.74 ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_n', 't_a' ), 'v_m',
% 4.35/4.74 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 .
% 4.35/4.74 clause( 302, [] )
% 4.35/4.74 .
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 % SZS output end Refutation
% 4.35/4.74 found a proof!
% 4.35/4.74
% 4.35/4.74 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 4.35/4.74
% 4.35/4.74 initialclauses(
% 4.35/4.74 [ clause( 304, [ 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , clause( 305, [ 'c_in'( 'v_n', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , clause( 306, [ ~( 'c_lessequals'( 'v_n', 'v_m', 'tc_set'( 'tc_set'( 't_a'
% 4.35/4.74 ) ) ) ) ] )
% 4.35/4.74 , clause( 307, [ ~( 'c_lessequals'( 'v_m', 'v_n', 'tc_set'( 'tc_set'( 't_a'
% 4.35/4.74 ) ) ) ) ] )
% 4.35/4.74 , clause( 308, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 4.35/4.74 'c_lessequals'( T, X, 'tc_set'( Z ) ) ), 'c_lessequals'( T, Y, 'tc_set'(
% 4.35/4.74 Z ) ) ] )
% 4.35/4.74 , clause( 309, [ 'c_lessequals'( X, 'c_Zorn_Osucc'( Y, X, Z ), 'tc_set'(
% 4.35/4.74 'tc_set'( Z ) ) ) ] )
% 4.35/4.74 , clause( 310, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'(
% 4.35/4.74 Z ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 4.35/4.74 ) ) ), 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ),
% 4.35/4.74 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'( T, X
% 4.35/4.74 , 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z )
% 4.35/4.74 , T, 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 4.35/4.74 , clause( 311, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'(
% 4.35/4.74 Z ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 4.35/4.74 ) ) ), 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 4.35/4.74 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), X, 'tc_set'( 'tc_set'( Z )
% 4.35/4.74 ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z
% 4.35/4.74 ) ) ) ] )
% 4.35/4.74 , clause( 312, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'(
% 4.35/4.74 Z ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 4.35/4.74 ) ) ), ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), X ) ),
% 4.35/4.74 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 4.35/4.74 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 4.35/4.74 , clause( 313, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'(
% 4.35/4.74 Z ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 4.35/4.74 ) ) ), ~( 'c_lessequals'( 'c_Zorn_Osucc'( Y,
% 4.35/4.74 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), Z ), X, 'tc_set'( 'tc_set'(
% 4.35/4.74 Z ) ) ) ), 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ),
% 4.35/4.74 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) )
% 4.35/4.74 ] )
% 4.35/4.74 , clause( 314, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'(
% 4.35/4.74 Z ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 4.35/4.74 ) ) ), ~( 'c_lessequals'( X, T, 'tc_set'( 'tc_set'( Z ) ) ) ),
% 4.35/4.74 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) )
% 4.35/4.74 , =( X, T ) ] )
% 4.35/4.74 ] ).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 subsumption(
% 4.35/4.74 clause( 0, [ 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , clause( 304, [ 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 subsumption(
% 4.35/4.74 clause( 1, [ 'c_in'( 'v_n', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , clause( 305, [ 'c_in'( 'v_n', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 subsumption(
% 4.35/4.74 clause( 2, [ ~( 'c_lessequals'( 'v_n', 'v_m', 'tc_set'( 'tc_set'( 't_a' ) )
% 4.35/4.74 ) ) ] )
% 4.35/4.74 , clause( 306, [ ~( 'c_lessequals'( 'v_n', 'v_m', 'tc_set'( 'tc_set'( 't_a'
% 4.35/4.74 ) ) ) ) ] )
% 4.35/4.74 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 subsumption(
% 4.35/4.74 clause( 3, [ ~( 'c_lessequals'( 'v_m', 'v_n', 'tc_set'( 'tc_set'( 't_a' ) )
% 4.35/4.74 ) ) ] )
% 4.35/4.74 , clause( 307, [ ~( 'c_lessequals'( 'v_m', 'v_n', 'tc_set'( 'tc_set'( 't_a'
% 4.35/4.74 ) ) ) ) ] )
% 4.35/4.74 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 subsumption(
% 4.35/4.74 clause( 4, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'(
% 4.35/4.74 T, X, 'tc_set'( Z ) ) ), 'c_lessequals'( T, Y, 'tc_set'( Z ) ) ] )
% 4.35/4.74 , clause( 308, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 4.35/4.74 'c_lessequals'( T, X, 'tc_set'( Z ) ) ), 'c_lessequals'( T, Y, 'tc_set'(
% 4.35/4.74 Z ) ) ] )
% 4.35/4.74 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 4.35/4.74 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 subsumption(
% 4.35/4.74 clause( 5, [ 'c_lessequals'( X, 'c_Zorn_Osucc'( Y, X, Z ), 'tc_set'(
% 4.35/4.74 'tc_set'( Z ) ) ) ] )
% 4.35/4.74 , clause( 309, [ 'c_lessequals'( X, 'c_Zorn_Osucc'( Y, X, Z ), 'tc_set'(
% 4.35/4.74 'tc_set'( Z ) ) ) ] )
% 4.35/4.74 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.35/4.74 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 subsumption(
% 4.35/4.74 clause( 6, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 4.35/4.74 ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 4.35/4.74 ), 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), 'c_Zorn_OTFin'(
% 4.35/4.74 Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'( T, X, 'tc_set'(
% 4.35/4.74 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'(
% 4.35/4.74 'tc_set'( Z ) ) ) ] )
% 4.35/4.74 , clause( 310, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'(
% 4.35/4.74 Z ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 4.35/4.74 ) ) ), 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ),
% 4.35/4.74 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'( T, X
% 4.35/4.74 , 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z )
% 4.35/4.74 , T, 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 4.35/4.74 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 4.35/4.74 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 4.35/4.74 ==>( 4, 4 )] ) ).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 subsumption(
% 4.35/4.74 clause( 7, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 4.35/4.74 ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 4.35/4.74 ), 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 4.35/4.74 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), X, 'tc_set'( 'tc_set'( Z )
% 4.35/4.74 ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z
% 4.35/4.74 ) ) ) ] )
% 4.35/4.74 , clause( 311, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'(
% 4.35/4.74 Z ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 4.35/4.74 ) ) ), 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 4.35/4.74 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), X, 'tc_set'( 'tc_set'( Z )
% 4.35/4.74 ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z
% 4.35/4.74 ) ) ) ] )
% 4.35/4.74 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 4.35/4.74 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 4.35/4.74 ==>( 4, 4 )] ) ).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 subsumption(
% 4.35/4.74 clause( 8, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 4.35/4.74 ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 4.35/4.74 ), ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), X ) ),
% 4.35/4.74 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 4.35/4.74 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 4.35/4.74 , clause( 312, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'(
% 4.35/4.74 Z ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 4.35/4.74 ) ) ), ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), X ) ),
% 4.35/4.74 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 4.35/4.74 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 4.35/4.74 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 4.35/4.74 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 4.35/4.74 ==>( 4, 4 )] ) ).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 subsumption(
% 4.35/4.74 clause( 9, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 4.35/4.74 ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 4.35/4.74 ), ~( 'c_lessequals'( 'c_Zorn_Osucc'( Y,
% 4.35/4.74 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), Z ), X, 'tc_set'( 'tc_set'(
% 4.35/4.74 Z ) ) ) ), 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ),
% 4.35/4.74 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) )
% 4.35/4.74 ] )
% 4.35/4.74 , clause( 313, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'(
% 4.35/4.74 Z ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 4.35/4.74 ) ) ), ~( 'c_lessequals'( 'c_Zorn_Osucc'( Y,
% 4.35/4.74 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), Z ), X, 'tc_set'( 'tc_set'(
% 4.35/4.74 Z ) ) ) ), 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ),
% 4.35/4.74 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) )
% 4.35/4.74 ] )
% 4.35/4.74 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 4.35/4.74 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 4.35/4.74 ==>( 4, 4 )] ) ).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 subsumption(
% 4.35/4.74 clause( 10, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 4.35/4.74 ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 4.35/4.74 ), ~( 'c_lessequals'( X, T, 'tc_set'( 'tc_set'( Z ) ) ) ),
% 4.35/4.74 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) )
% 4.35/4.74 , =( X, T ) ] )
% 4.35/4.74 , clause( 314, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'(
% 4.35/4.74 Z ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 4.35/4.74 ) ) ), ~( 'c_lessequals'( X, T, 'tc_set'( 'tc_set'( Z ) ) ) ),
% 4.35/4.74 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) )
% 4.35/4.74 , =( X, T ) ] )
% 4.35/4.74 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 4.35/4.74 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 4.35/4.74 ==>( 4, 4 )] ) ).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 resolution(
% 4.35/4.74 clause( 348, [ ~( 'c_lessequals'( X, 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) )
% 4.35/4.74 ), ~( 'c_lessequals'( 'v_n', X, 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 4.35/4.74 , clause( 2, [ ~( 'c_lessequals'( 'v_n', 'v_m', 'tc_set'( 'tc_set'( 't_a' )
% 4.35/4.74 ) ) ) ] )
% 4.35/4.74 , 0, clause( 4, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 4.35/4.74 'c_lessequals'( T, X, 'tc_set'( Z ) ) ), 'c_lessequals'( T, Y, 'tc_set'(
% 4.35/4.74 Z ) ) ] )
% 4.35/4.74 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, 'v_m' ),
% 4.35/4.74 :=( Z, 'tc_set'( 't_a' ) ), :=( T, 'v_n' )] )).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 subsumption(
% 4.35/4.74 clause( 19, [ ~( 'c_lessequals'( X, 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) )
% 4.35/4.74 ), ~( 'c_lessequals'( 'v_n', X, 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 4.35/4.74 , clause( 348, [ ~( 'c_lessequals'( X, 'v_m', 'tc_set'( 'tc_set'( 't_a' ) )
% 4.35/4.74 ) ), ~( 'c_lessequals'( 'v_n', X, 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 4.35/4.74 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 4.35/4.74 1 )] ) ).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 resolution(
% 4.35/4.74 clause( 349, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( X, 'v_n', 't_a' ), 'v_m'
% 4.35/4.74 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 4.35/4.74 , clause( 19, [ ~( 'c_lessequals'( X, 'v_m', 'tc_set'( 'tc_set'( 't_a' ) )
% 4.35/4.74 ) ), ~( 'c_lessequals'( 'v_n', X, 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 4.35/4.74 , 1, clause( 5, [ 'c_lessequals'( X, 'c_Zorn_Osucc'( Y, X, Z ), 'tc_set'(
% 4.35/4.74 'tc_set'( Z ) ) ) ] )
% 4.35/4.74 , 0, substitution( 0, [ :=( X, 'c_Zorn_Osucc'( X, 'v_n', 't_a' ) )] ),
% 4.35/4.74 substitution( 1, [ :=( X, 'v_n' ), :=( Y, X ), :=( Z, 't_a' )] )).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 subsumption(
% 4.35/4.74 clause( 22, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( X, 'v_n', 't_a' ), 'v_m',
% 4.35/4.74 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 4.35/4.74 , clause( 349, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( X, 'v_n', 't_a' ),
% 4.35/4.74 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 4.35/4.74 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 resolution(
% 4.35/4.74 clause( 351, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ), 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S'
% 4.35/4.74 , X, 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' )
% 4.35/4.74 ) ), 'c_lessequals'( 'v_m', X, 'tc_set'( 'tc_set'( 't_a' ) ) ),
% 4.35/4.74 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_m', 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , clause( 6, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z
% 4.35/4.74 ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) )
% 4.35/4.74 ) ), 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ),
% 4.35/4.74 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'( T, X
% 4.35/4.74 , 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z )
% 4.35/4.74 , T, 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 4.35/4.74 , 1, clause( 0, [ 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'v_S' ), :=( Z, 't_a' ), :=( T,
% 4.35/4.74 'v_m' )] ), substitution( 1, [] )).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 subsumption(
% 4.35/4.74 clause( 34, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ), 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S'
% 4.35/4.74 , X, 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' )
% 4.35/4.74 ) ), 'c_lessequals'( 'v_m', X, 'tc_set'( 'tc_set'( 't_a' ) ) ),
% 4.35/4.74 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_m', 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , clause( 351, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ), 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S'
% 4.35/4.74 , X, 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' )
% 4.35/4.74 ) ), 'c_lessequals'( 'v_m', X, 'tc_set'( 'tc_set'( 't_a' ) ) ),
% 4.35/4.74 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_m', 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 4.35/4.74 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 resolution(
% 4.35/4.74 clause( 353, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_m', X, 'tc_set'( 'tc_set'(
% 4.35/4.74 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', X
% 4.35/4.74 , 't_a' ), X, 'tc_set'( 'tc_set'( 't_a' ) ) ), 'c_lessequals'(
% 4.35/4.74 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) )
% 4.35/4.74 ] )
% 4.35/4.74 , clause( 7, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z
% 4.35/4.74 ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) )
% 4.35/4.74 ) ), 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 4.35/4.74 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), X, 'tc_set'( 'tc_set'( Z )
% 4.35/4.74 ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z
% 4.35/4.74 ) ) ) ] )
% 4.35/4.74 , 1, clause( 0, [ 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'v_S' ), :=( Z, 't_a' ), :=( T,
% 4.35/4.74 'v_m' )] ), substitution( 1, [] )).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 subsumption(
% 4.35/4.74 clause( 56, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_m', X, 'tc_set'( 'tc_set'(
% 4.35/4.74 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', X
% 4.35/4.74 , 't_a' ), X, 'tc_set'( 'tc_set'( 't_a' ) ) ), 'c_lessequals'(
% 4.35/4.74 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) )
% 4.35/4.74 ] )
% 4.35/4.74 , clause( 353, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_m', X, 'tc_set'( 'tc_set'(
% 4.35/4.74 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', X
% 4.35/4.74 , 't_a' ), X, 'tc_set'( 'tc_set'( 't_a' ) ) ), 'c_lessequals'(
% 4.35/4.74 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) )
% 4.35/4.74 ] )
% 4.35/4.74 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 4.35/4.74 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 eqswap(
% 4.35/4.74 clause( 355, [ ~( =( Y, 'c_Zorn_OTFin__linear__lemma1__1'( X, Y, Z ) ) ),
% 4.35/4.74 ~( 'c_in'( Y, 'c_Zorn_OTFin'( X, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), ~(
% 4.35/4.74 'c_in'( T, 'c_Zorn_OTFin'( X, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ),
% 4.35/4.74 'c_lessequals'( T, Y, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 4.35/4.74 'c_Zorn_Osucc'( X, Y, Z ), T, 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 4.35/4.74 , clause( 8, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z
% 4.35/4.74 ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) )
% 4.35/4.74 ) ), ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), X ) ),
% 4.35/4.74 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 4.35/4.74 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 4.35/4.74 , 2, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, T )] )
% 4.35/4.74 ).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 resolution(
% 4.35/4.74 clause( 357, [ ~( =( X, 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', X, 't_a'
% 4.35/4.74 ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'(
% 4.35/4.74 't_a' ) ) ) ), 'c_lessequals'( 'v_m', X, 'tc_set'( 'tc_set'( 't_a' ) ) )
% 4.35/4.74 , 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_m', 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , clause( 355, [ ~( =( Y, 'c_Zorn_OTFin__linear__lemma1__1'( X, Y, Z ) ) )
% 4.35/4.74 , ~( 'c_in'( Y, 'c_Zorn_OTFin'( X, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ),
% 4.35/4.74 ~( 'c_in'( T, 'c_Zorn_OTFin'( X, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ),
% 4.35/4.74 'c_lessequals'( T, Y, 'tc_set'( 'tc_set'( Z ) ) ), 'c_lessequals'(
% 4.35/4.74 'c_Zorn_Osucc'( X, Y, Z ), T, 'tc_set'( 'tc_set'( Z ) ) ) ] )
% 4.35/4.74 , 2, clause( 0, [ 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , 0, substitution( 0, [ :=( X, 'v_S' ), :=( Y, X ), :=( Z, 't_a' ), :=( T,
% 4.35/4.74 'v_m' )] ), substitution( 1, [] )).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 eqswap(
% 4.35/4.74 clause( 358, [ ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', X, 't_a' ),
% 4.35/4.74 X ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'(
% 4.35/4.74 't_a' ) ) ) ), 'c_lessequals'( 'v_m', X, 'tc_set'( 'tc_set'( 't_a' ) ) )
% 4.35/4.74 , 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_m', 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , clause( 357, [ ~( =( X, 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', X,
% 4.35/4.74 't_a' ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_m', X, 'tc_set'( 'tc_set'(
% 4.35/4.74 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_m',
% 4.35/4.74 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , 0, substitution( 0, [ :=( X, X )] )).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 subsumption(
% 4.35/4.74 clause( 73, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ), ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 4.35/4.74 X, 't_a' ), X ) ), 'c_lessequals'( 'v_m', X, 'tc_set'( 'tc_set'( 't_a' )
% 4.35/4.74 ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_m', 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , clause( 358, [ ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', X, 't_a' )
% 4.35/4.74 , X ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'(
% 4.35/4.74 't_a' ) ) ) ), 'c_lessequals'( 'v_m', X, 'tc_set'( 'tc_set'( 't_a' ) ) )
% 4.35/4.74 , 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_m', 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 4.35/4.74 0 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 resolution(
% 4.35/4.74 clause( 361, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ), ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 4.35/4.74 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', X, 't_a' ), 't_a' ), X,
% 4.35/4.74 'tc_set'( 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_m', X, 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' )
% 4.35/4.74 , 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , clause( 9, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z
% 4.35/4.74 ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) )
% 4.35/4.74 ) ), ~( 'c_lessequals'( 'c_Zorn_Osucc'( Y,
% 4.35/4.74 'c_Zorn_OTFin__linear__lemma1__1'( Y, X, Z ), Z ), X, 'tc_set'( 'tc_set'(
% 4.35/4.74 Z ) ) ) ), 'c_lessequals'( T, X, 'tc_set'( 'tc_set'( Z ) ) ),
% 4.35/4.74 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) )
% 4.35/4.74 ] )
% 4.35/4.74 , 1, clause( 0, [ 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'v_S' ), :=( Z, 't_a' ), :=( T,
% 4.35/4.74 'v_m' )] ), substitution( 1, [] )).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 subsumption(
% 4.35/4.74 clause( 95, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ), ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 4.35/4.74 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', X, 't_a' ), 't_a' ), X,
% 4.35/4.74 'tc_set'( 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_m', X, 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' )
% 4.35/4.74 , 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , clause( 361, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ), ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 4.35/4.74 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', X, 't_a' ), 't_a' ), X,
% 4.35/4.74 'tc_set'( 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_m', X, 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' )
% 4.35/4.74 , 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 4.35/4.74 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 eqswap(
% 4.35/4.74 clause( 362, [ =( Y, X ), ~( 'c_in'( X, 'c_Zorn_OTFin'( Z, T ), 'tc_set'(
% 4.35/4.74 'tc_set'( T ) ) ) ), ~( 'c_in'( Y, 'c_Zorn_OTFin'( Z, T ), 'tc_set'(
% 4.35/4.74 'tc_set'( T ) ) ) ), ~( 'c_lessequals'( X, Y, 'tc_set'( 'tc_set'( T ) ) )
% 4.35/4.74 ), 'c_lessequals'( 'c_Zorn_Osucc'( Z, X, T ), Y, 'tc_set'( 'tc_set'( T )
% 4.35/4.74 ) ) ] )
% 4.35/4.74 , clause( 10, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z
% 4.35/4.74 ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) )
% 4.35/4.74 ) ), ~( 'c_lessequals'( X, T, 'tc_set'( 'tc_set'( Z ) ) ) ),
% 4.35/4.74 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) )
% 4.35/4.74 , =( X, T ) ] )
% 4.35/4.74 , 4, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 4.35/4.74 ).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 resolution(
% 4.35/4.74 clause( 364, [ =( 'v_n', X ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' )
% 4.35/4.74 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_lessequals'( X, 'v_n',
% 4.35/4.74 'tc_set'( 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S'
% 4.35/4.74 , X, 't_a' ), 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , clause( 362, [ =( Y, X ), ~( 'c_in'( X, 'c_Zorn_OTFin'( Z, T ), 'tc_set'(
% 4.35/4.74 'tc_set'( T ) ) ) ), ~( 'c_in'( Y, 'c_Zorn_OTFin'( Z, T ), 'tc_set'(
% 4.35/4.74 'tc_set'( T ) ) ) ), ~( 'c_lessequals'( X, Y, 'tc_set'( 'tc_set'( T ) ) )
% 4.35/4.74 ), 'c_lessequals'( 'c_Zorn_Osucc'( Z, X, T ), Y, 'tc_set'( 'tc_set'( T )
% 4.35/4.74 ) ) ] )
% 4.35/4.74 , 2, clause( 1, [ 'c_in'( 'v_n', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'v_n' ), :=( Z, 'v_S' ), :=( T,
% 4.35/4.74 't_a' )] ), substitution( 1, [] )).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 eqswap(
% 4.35/4.74 clause( 365, [ =( X, 'v_n' ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' )
% 4.35/4.74 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_lessequals'( X, 'v_n',
% 4.35/4.74 'tc_set'( 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S'
% 4.35/4.74 , X, 't_a' ), 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , clause( 364, [ =( 'v_n', X ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a'
% 4.35/4.74 ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_lessequals'( X, 'v_n',
% 4.35/4.74 'tc_set'( 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S'
% 4.35/4.74 , X, 't_a' ), 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , 0, substitution( 0, [ :=( X, X )] )).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 subsumption(
% 4.35/4.74 clause( 118, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ), ~( 'c_lessequals'( X, 'v_n', 'tc_set'( 'tc_set'(
% 4.35/4.74 't_a' ) ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_n',
% 4.35/4.74 'tc_set'( 'tc_set'( 't_a' ) ) ), =( X, 'v_n' ) ] )
% 4.35/4.74 , clause( 365, [ =( X, 'v_n' ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a'
% 4.35/4.74 ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_lessequals'( X, 'v_n',
% 4.35/4.74 'tc_set'( 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S'
% 4.35/4.74 , X, 't_a' ), 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1,
% 4.35/4.74 0 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 eqswap(
% 4.35/4.74 clause( 367, [ ~( =( X, 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', X, 't_a'
% 4.35/4.74 ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'(
% 4.35/4.74 't_a' ) ) ) ), 'c_lessequals'( 'v_m', X, 'tc_set'( 'tc_set'( 't_a' ) ) )
% 4.35/4.74 , 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_m', 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , clause( 73, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ), ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 4.35/4.74 X, 't_a' ), X ) ), 'c_lessequals'( 'v_m', X, 'tc_set'( 'tc_set'( 't_a' )
% 4.35/4.74 ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_m', 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , 1, substitution( 0, [ :=( X, X )] )).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 resolution(
% 4.35/4.74 clause( 368, [ ~( =( 'v_n', 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n'
% 4.35/4.74 , 't_a' ) ) ), ~( 'c_in'( 'v_n', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_m', 'v_n', 'tc_set'( 'tc_set'(
% 4.35/4.74 't_a' ) ) ) ] )
% 4.35/4.74 , clause( 22, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( X, 'v_n', 't_a' ), 'v_m'
% 4.35/4.74 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 4.35/4.74 , 0, clause( 367, [ ~( =( X, 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', X,
% 4.35/4.74 't_a' ) ) ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_m', X, 'tc_set'( 'tc_set'(
% 4.35/4.74 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_m',
% 4.35/4.74 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , 3, substitution( 0, [ :=( X, 'v_S' )] ), substitution( 1, [ :=( X, 'v_n'
% 4.35/4.74 )] )).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 resolution(
% 4.35/4.74 clause( 369, [ ~( =( 'v_n', 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n'
% 4.35/4.74 , 't_a' ) ) ), 'c_lessequals'( 'v_m', 'v_n', 'tc_set'( 'tc_set'( 't_a' )
% 4.35/4.74 ) ) ] )
% 4.35/4.74 , clause( 368, [ ~( =( 'v_n', 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 4.35/4.74 'v_n', 't_a' ) ) ), ~( 'c_in'( 'v_n', 'c_Zorn_OTFin'( 'v_S', 't_a' ),
% 4.35/4.74 'tc_set'( 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_m', 'v_n', 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , 1, clause( 1, [ 'c_in'( 'v_n', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 eqswap(
% 4.35/4.74 clause( 370, [ ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n', 't_a'
% 4.35/4.74 ), 'v_n' ) ), 'c_lessequals'( 'v_m', 'v_n', 'tc_set'( 'tc_set'( 't_a' )
% 4.35/4.74 ) ) ] )
% 4.35/4.74 , clause( 369, [ ~( =( 'v_n', 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 4.35/4.74 'v_n', 't_a' ) ) ), 'c_lessequals'( 'v_m', 'v_n', 'tc_set'( 'tc_set'(
% 4.35/4.74 't_a' ) ) ) ] )
% 4.35/4.74 , 0, substitution( 0, [] )).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 subsumption(
% 4.35/4.74 clause( 227, [ ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n', 't_a'
% 4.35/4.74 ), 'v_n' ) ), 'c_lessequals'( 'v_m', 'v_n', 'tc_set'( 'tc_set'( 't_a' )
% 4.35/4.74 ) ) ] )
% 4.35/4.74 , clause( 370, [ ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n',
% 4.35/4.74 't_a' ), 'v_n' ) ), 'c_lessequals'( 'v_m', 'v_n', 'tc_set'( 'tc_set'(
% 4.35/4.74 't_a' ) ) ) ] )
% 4.35/4.74 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 4.35/4.74 ).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 resolution(
% 4.35/4.74 clause( 372, [ ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n', 't_a'
% 4.35/4.74 ), 'v_n' ) ) ] )
% 4.35/4.74 , clause( 3, [ ~( 'c_lessequals'( 'v_m', 'v_n', 'tc_set'( 'tc_set'( 't_a' )
% 4.35/4.74 ) ) ) ] )
% 4.35/4.74 , 0, clause( 227, [ ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n',
% 4.35/4.74 't_a' ), 'v_n' ) ), 'c_lessequals'( 'v_m', 'v_n', 'tc_set'( 'tc_set'(
% 4.35/4.74 't_a' ) ) ) ] )
% 4.35/4.74 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 subsumption(
% 4.35/4.74 clause( 229, [ ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n', 't_a'
% 4.35/4.74 ), 'v_n' ) ) ] )
% 4.35/4.74 , clause( 372, [ ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n',
% 4.35/4.74 't_a' ), 'v_n' ) ) ] )
% 4.35/4.74 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 resolution(
% 4.35/4.74 clause( 374, [ ~( 'c_in'( 'v_n', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ), 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S'
% 4.35/4.74 , 'v_n', 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'(
% 4.35/4.74 't_a' ) ) ), 'c_lessequals'( 'v_m', 'v_n', 'tc_set'( 'tc_set'( 't_a' ) )
% 4.35/4.74 ) ] )
% 4.35/4.74 , clause( 22, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( X, 'v_n', 't_a' ), 'v_m'
% 4.35/4.74 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 4.35/4.74 , 0, clause( 34, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ), 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S'
% 4.35/4.74 , X, 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' )
% 4.35/4.74 ) ), 'c_lessequals'( 'v_m', X, 'tc_set'( 'tc_set'( 't_a' ) ) ),
% 4.35/4.74 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_m', 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , 3, substitution( 0, [ :=( X, 'v_S' )] ), substitution( 1, [ :=( X, 'v_n'
% 4.35/4.74 )] )).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 resolution(
% 4.35/4.74 clause( 375, [ 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n',
% 4.35/4.74 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) )
% 4.35/4.74 , 'c_lessequals'( 'v_m', 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , clause( 374, [ ~( 'c_in'( 'v_n', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ), 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S'
% 4.35/4.74 , 'v_n', 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'(
% 4.35/4.74 't_a' ) ) ), 'c_lessequals'( 'v_m', 'v_n', 'tc_set'( 'tc_set'( 't_a' ) )
% 4.35/4.74 ) ] )
% 4.35/4.74 , 0, clause( 1, [ 'c_in'( 'v_n', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 subsumption(
% 4.35/4.74 clause( 255, [ 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n',
% 4.35/4.74 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) )
% 4.35/4.74 , 'c_lessequals'( 'v_m', 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , clause( 375, [ 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n',
% 4.35/4.74 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) )
% 4.35/4.74 , 'c_lessequals'( 'v_m', 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 4.35/4.74 ).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 resolution(
% 4.35/4.74 clause( 376, [ 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n',
% 4.35/4.74 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) )
% 4.35/4.74 ] )
% 4.35/4.74 , clause( 3, [ ~( 'c_lessequals'( 'v_m', 'v_n', 'tc_set'( 'tc_set'( 't_a' )
% 4.35/4.74 ) ) ) ] )
% 4.35/4.74 , 0, clause( 255, [ 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n'
% 4.35/4.74 , 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) )
% 4.35/4.74 ), 'c_lessequals'( 'v_m', 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 subsumption(
% 4.35/4.74 clause( 256, [ 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n',
% 4.35/4.74 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) )
% 4.35/4.74 ] )
% 4.35/4.74 , clause( 376, [ 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n',
% 4.35/4.74 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) )
% 4.35/4.74 ] )
% 4.35/4.74 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 resolution(
% 4.35/4.74 clause( 377, [ ~( 'c_in'( 'v_n', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_m', 'v_n', 'tc_set'( 'tc_set'(
% 4.35/4.74 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 4.35/4.74 'v_n', 't_a' ), 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , clause( 22, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( X, 'v_n', 't_a' ), 'v_m'
% 4.35/4.74 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 4.35/4.74 , 0, clause( 56, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_m', X, 'tc_set'( 'tc_set'(
% 4.35/4.74 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', X
% 4.35/4.74 , 't_a' ), X, 'tc_set'( 'tc_set'( 't_a' ) ) ), 'c_lessequals'(
% 4.35/4.74 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) )
% 4.35/4.74 ] )
% 4.35/4.74 , 3, substitution( 0, [ :=( X, 'v_S' )] ), substitution( 1, [ :=( X, 'v_n'
% 4.35/4.74 )] )).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 resolution(
% 4.35/4.74 clause( 378, [ 'c_lessequals'( 'v_m', 'v_n', 'tc_set'( 'tc_set'( 't_a' ) )
% 4.35/4.74 ), 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n',
% 4.35/4.74 't_a' ), 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , clause( 377, [ ~( 'c_in'( 'v_n', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_m', 'v_n', 'tc_set'( 'tc_set'(
% 4.35/4.74 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 4.35/4.74 'v_n', 't_a' ), 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , 0, clause( 1, [ 'c_in'( 'v_n', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 subsumption(
% 4.35/4.74 clause( 267, [ 'c_lessequals'( 'v_m', 'v_n', 'tc_set'( 'tc_set'( 't_a' ) )
% 4.35/4.74 ), 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n',
% 4.35/4.74 't_a' ), 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , clause( 378, [ 'c_lessequals'( 'v_m', 'v_n', 'tc_set'( 'tc_set'( 't_a' )
% 4.35/4.74 ) ), 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n',
% 4.35/4.74 't_a' ), 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 4.35/4.74 ).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 resolution(
% 4.35/4.74 clause( 379, [ 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 4.35/4.74 'v_n', 't_a' ), 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , clause( 3, [ ~( 'c_lessequals'( 'v_m', 'v_n', 'tc_set'( 'tc_set'( 't_a' )
% 4.35/4.74 ) ) ) ] )
% 4.35/4.74 , 0, clause( 267, [ 'c_lessequals'( 'v_m', 'v_n', 'tc_set'( 'tc_set'( 't_a'
% 4.35/4.74 ) ) ), 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n',
% 4.35/4.74 't_a' ), 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 subsumption(
% 4.35/4.74 clause( 269, [ 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 4.35/4.74 'v_n', 't_a' ), 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , clause( 379, [ 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 4.35/4.74 'v_n', 't_a' ), 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 eqswap(
% 4.35/4.74 clause( 380, [ =( 'v_n', X ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' )
% 4.35/4.74 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_lessequals'( X, 'v_n',
% 4.35/4.74 'tc_set'( 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S'
% 4.35/4.74 , X, 't_a' ), 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , clause( 118, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ), ~( 'c_lessequals'( X, 'v_n', 'tc_set'( 'tc_set'(
% 4.35/4.74 't_a' ) ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' ), 'v_n',
% 4.35/4.74 'tc_set'( 'tc_set'( 't_a' ) ) ), =( X, 'v_n' ) ] )
% 4.35/4.74 , 3, substitution( 0, [ :=( X, X )] )).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 resolution(
% 4.35/4.74 clause( 381, [ =( 'v_n', 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n',
% 4.35/4.74 't_a' ) ), ~( 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n',
% 4.35/4.74 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) )
% 4.35/4.74 ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 4.35/4.74 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n', 't_a' ), 't_a' ), 'v_n'
% 4.35/4.74 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , clause( 380, [ =( 'v_n', X ), ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a'
% 4.35/4.74 ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_lessequals'( X, 'v_n',
% 4.35/4.74 'tc_set'( 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S'
% 4.35/4.74 , X, 't_a' ), 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , 2, clause( 269, [ 'c_lessequals'( 'c_Zorn_OTFin__linear__lemma1__1'(
% 4.35/4.74 'v_S', 'v_n', 't_a' ), 'v_n', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , 0, substitution( 0, [ :=( X, 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S',
% 4.35/4.74 'v_n', 't_a' ) )] ), substitution( 1, [] )).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 resolution(
% 4.35/4.74 clause( 382, [ =( 'v_n', 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n',
% 4.35/4.74 't_a' ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 4.35/4.74 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n', 't_a' ), 't_a' ), 'v_n'
% 4.35/4.74 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , clause( 381, [ =( 'v_n', 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n'
% 4.35/4.74 , 't_a' ) ), ~( 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n',
% 4.35/4.74 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) )
% 4.35/4.74 ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 4.35/4.74 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n', 't_a' ), 't_a' ), 'v_n'
% 4.35/4.74 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , 1, clause( 256, [ 'c_in'( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n'
% 4.35/4.74 , 't_a' ), 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) )
% 4.35/4.74 ) ] )
% 4.35/4.74 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 eqswap(
% 4.35/4.74 clause( 383, [ =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n', 't_a' )
% 4.35/4.74 , 'v_n' ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 4.35/4.74 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n', 't_a' ), 't_a' ), 'v_n'
% 4.35/4.74 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , clause( 382, [ =( 'v_n', 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n'
% 4.35/4.74 , 't_a' ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 4.35/4.74 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n', 't_a' ), 't_a' ), 'v_n'
% 4.35/4.74 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , 0, substitution( 0, [] )).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 subsumption(
% 4.35/4.74 clause( 270, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 4.35/4.74 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n', 't_a' ), 't_a' ), 'v_n'
% 4.35/4.74 , 'tc_set'( 'tc_set'( 't_a' ) ) ), =( 'c_Zorn_OTFin__linear__lemma1__1'(
% 4.35/4.74 'v_S', 'v_n', 't_a' ), 'v_n' ) ] )
% 4.35/4.74 , clause( 383, [ =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n', 't_a'
% 4.35/4.74 ), 'v_n' ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 4.35/4.74 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n', 't_a' ), 't_a' ), 'v_n'
% 4.35/4.74 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 4.35/4.74 ).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 resolution(
% 4.35/4.74 clause( 386, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 4.35/4.74 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n', 't_a' ), 't_a' ), 'v_n'
% 4.35/4.74 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , clause( 229, [ ~( =( 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n',
% 4.35/4.74 't_a' ), 'v_n' ) ) ] )
% 4.35/4.74 , 0, clause( 270, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 4.35/4.74 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n', 't_a' ), 't_a' ), 'v_n'
% 4.35/4.74 , 'tc_set'( 'tc_set'( 't_a' ) ) ), =( 'c_Zorn_OTFin__linear__lemma1__1'(
% 4.35/4.74 'v_S', 'v_n', 't_a' ), 'v_n' ) ] )
% 4.35/4.74 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 subsumption(
% 4.35/4.74 clause( 290, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 4.35/4.74 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n', 't_a' ), 't_a' ), 'v_n'
% 4.35/4.74 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , clause( 386, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 4.35/4.74 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n', 't_a' ), 't_a' ), 'v_n'
% 4.35/4.74 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 resolution(
% 4.35/4.74 clause( 387, [ ~( 'c_in'( 'v_n', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_m', 'v_n', 'tc_set'( 'tc_set'(
% 4.35/4.74 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_n', 't_a' ), 'v_m'
% 4.35/4.74 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , clause( 95, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ), ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 4.35/4.74 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', X, 't_a' ), 't_a' ), X,
% 4.35/4.74 'tc_set'( 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_m', X, 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', X, 't_a' )
% 4.35/4.74 , 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , 1, clause( 290, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S',
% 4.35/4.74 'c_Zorn_OTFin__linear__lemma1__1'( 'v_S', 'v_n', 't_a' ), 't_a' ), 'v_n'
% 4.35/4.74 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , 0, substitution( 0, [ :=( X, 'v_n' )] ), substitution( 1, [] )).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 resolution(
% 4.35/4.74 clause( 388, [ 'c_lessequals'( 'v_m', 'v_n', 'tc_set'( 'tc_set'( 't_a' ) )
% 4.35/4.74 ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_n', 't_a' ), 'v_m',
% 4.35/4.74 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , clause( 387, [ ~( 'c_in'( 'v_n', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( 'v_m', 'v_n', 'tc_set'( 'tc_set'(
% 4.35/4.74 't_a' ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_n', 't_a' ), 'v_m'
% 4.35/4.74 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , 0, clause( 1, [ 'c_in'( 'v_n', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'(
% 4.35/4.74 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 subsumption(
% 4.35/4.74 clause( 299, [ 'c_lessequals'( 'v_m', 'v_n', 'tc_set'( 'tc_set'( 't_a' ) )
% 4.35/4.74 ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_n', 't_a' ), 'v_m',
% 4.35/4.74 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , clause( 388, [ 'c_lessequals'( 'v_m', 'v_n', 'tc_set'( 'tc_set'( 't_a' )
% 4.35/4.74 ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_n', 't_a' ), 'v_m',
% 4.35/4.74 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 4.35/4.74 ).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 resolution(
% 4.35/4.74 clause( 389, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_n', 't_a' ), 'v_m'
% 4.35/4.74 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , clause( 3, [ ~( 'c_lessequals'( 'v_m', 'v_n', 'tc_set'( 'tc_set'( 't_a' )
% 4.35/4.74 ) ) ) ] )
% 4.35/4.74 , 0, clause( 299, [ 'c_lessequals'( 'v_m', 'v_n', 'tc_set'( 'tc_set'( 't_a'
% 4.35/4.74 ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_n', 't_a' ), 'v_m',
% 4.35/4.74 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 resolution(
% 4.35/4.74 clause( 390, [] )
% 4.35/4.74 , clause( 22, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( X, 'v_n', 't_a' ), 'v_m'
% 4.35/4.74 , 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 4.35/4.74 , 0, clause( 389, [ 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_n', 't_a' ),
% 4.35/4.74 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 4.35/4.74 , 0, substitution( 0, [ :=( X, 'v_S' )] ), substitution( 1, [] )).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 subsumption(
% 4.35/4.74 clause( 302, [] )
% 4.35/4.74 , clause( 390, [] )
% 4.35/4.74 , substitution( 0, [] ), permutation( 0, [] ) ).
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 end.
% 4.35/4.74
% 4.35/4.74 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 4.35/4.74
% 4.35/4.74 Memory use:
% 4.35/4.74
% 4.35/4.74 space for terms: 12991
% 4.35/4.74 space for clauses: 17443
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 clauses generated: 20711
% 4.35/4.74 clauses kept: 303
% 4.35/4.74 clauses selected: 130
% 4.35/4.74 clauses deleted: 29
% 4.35/4.74 clauses inuse deleted: 0
% 4.35/4.74
% 4.35/4.74 subsentry: 2793
% 4.35/4.74 literals s-matched: 2199
% 4.35/4.74 literals matched: 1975
% 4.35/4.74 full subsumption: 1256
% 4.35/4.74
% 4.35/4.74 checksum: -1880989972
% 4.35/4.74
% 4.35/4.74
% 4.35/4.74 Bliksem ended
%------------------------------------------------------------------------------